The Job Shop scheduling problem with distinct due windows is discussed. Uncertain processing time is also considered , which is denoted by triangular fuzzy number , and two fuzzy operators are introduced also. Fuzzy programming model is established for the scheduling problem. Based on the algorithmof maximizing the membership function of middle value , the fuzzy programming model is transformed into deterministic programming model and an effective genetic algorithm is presented also. A great deal of simulation results are given to illustrate the efficiency of the proposed model and the scheduling algorithm.